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horsena [70]
3 years ago
8

Log; (3x+2) = log,(4x-6)

Mathematics
1 answer:
egoroff_w [7]3 years ago
5 0

Answer:

x = 8

Step-by-step explanation:

Using the rule of logarithms

log x = log y ⇔ x = y

Given

log(3x + 2) = log(4x - 6), then

4x - 6 = 3x + 2 ( subtract 3x from both sides )

x - 6 = 2 ( add 6 to both sides )

x = 8

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Jim orders prints from a website. The site charges him $6.95 a month and $0.04 for each print he orders.
Alexxandr [17]
P=$17.79-$6.95
P=$10.84
P=$10.84 divide by 0.04
P= 271
Jim ordered 271 prints last month
8 0
3 years ago
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Subtract 7x-9 from 2x^2-11<br> A) 2x^2-7x-2<br> B) 2x^2+7x-20<br> C) 2x^2+7x-2
Natali [406]
We keep the 2x^2 because we can only subtract something from that if it also is squared. From there, we subtract the 7x from 2x^2-11. Since there is no previous x's in the 2x^2-11, we just make it -7x. So, without even continuing the problem, we see that A) is the correct answer because it is the only one with -7x. 
5 0
3 years ago
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Find the unit rate
blsea [12.9K]

Answer:

vvvvvvvv

Step-by-step explanation:

A.36

B.5

C.1.70

D.7

E.3.80

F.100

G.14

H.0.64

I.1.02

J.9

Basically you dived the two numbers for your awnser

4 0
2 years ago
. If α and β are the roots of
Lostsunrise [7]

Answer:

18x^2+85x+18 = 0

Step-by-step explanation:

<u><em>Given Equation is </em></u>

=> 2x^2+7x-9=0

Comparing it with ax^2+bx+c = 0, we get

=> a = 2, b = 7 and c = -9

So,

Sum of roots = α+β = -\frac{b}{a}

α+β = -7/2

Product of roots = αβ = c/a

αβ = -9/2

<em>Now, Finding the equation whose roots are:</em>

α/β ,β/α

Sum of Roots = \frac{\alpha }{\beta } + \frac{\beta }{\alpha }

Sum of Roots = \frac{\alpha^2+\beta^2  }{\alpha \beta }

Sum of Roots = \frac{(\alpha+\beta )^2-2\alpha\beta   }{\alpha\beta  }

Sum of roots = (\frac{-7}{2} )^2-2(\frac{-9}{2} ) / \frac{-9}{2}

Sum of roots = \frac{49}{4} + 9 /\frac{-9}{2}

Sum of Roots = \frac{49+36}{4} / \frac{-9}{2}

Sum of roots = \frac{85}{4} * \frac{2}{-9}

Sum of roots = S = -\frac{85}{18}

Product of Roots = \frac{\alpha }{\beta } \frac{\beta }{\alpha }

Product of Roots = P = 1

<u><em>The Quadratic Equation is:</em></u>

=> x^2-Sx+P = 0

=> x^2 - (-\frac{85}{18} )x+1 = 0

=> x^2 + \frac{85}{18}x + 1 = 0

=> 18x^2+85x+18 = 0

This is the required quadratic equation.

5 0
3 years ago
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Anaya makes 14 baskets during her game. Some of these baskets were worth two points and others were worth three points. In total
Valentin [98]

Answer:she made 12 two points basket.

Step-by-step explanation:

Let x represent the number of baskets that were worth two points.

Let y represent the number of baskets that were worth three points.

Anaya makes 14 baskets during her game.

This means that

x + y = 14

Some of these baskets were worth two points and others were worth three points. In total she scored 30 points. His means that

2x + 3y = 30 - - - - - - - - - -1

Substituting x = 14 - y into equation 1, it becomes

2(14 - y) + 3y = 30

28 - 2y + 3y = 30

- 2y + 3y = 30 - 28

y = 2

Substituting y = 2 into x = 14 - y, it becomes

x = 14 - 2

x = 12

7 0
3 years ago
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